{ "id": "1909.10291", "version": "v1", "published": "2019-09-23T11:20:25.000Z", "updated": "2019-09-23T11:20:25.000Z", "title": "The evolution of pitch angles of spiral arms", "authors": [ "J. E. Pringle", "C. L. Dobbs" ], "comment": "4 pages, 3 figures, accepted for publication in MNRAS", "categories": [ "astro-ph.GA" ], "abstract": "In spiral galaxies, the pitch angle, $\\alpha$, of the spiral arms is often proposed as a discriminator between theories for the formation of the spiral structure. In Lin-Shu density wave theory, $\\alpha$ stays constant in time, being simply a property of the underlying galaxy. In other theories (e.g tidal interaction, self-gravity) it is expected that the arms wind up in time, so that to a first approximation $\\cot \\alpha \\propto t$. For these theories, it would be expected that a sample of galaxies observed at random times should show a uniform distribution of $\\cot \\alpha$. We show that a recent set of measurements of spiral pitch angles (Yu & Ho 2018) is broadly consistent with this expectation.", "revisions": [ { "version": "v1", "updated": "2019-09-23T11:20:25.000Z" } ], "analyses": { "keywords": [ "spiral arms", "lin-shu density wave theory", "spiral pitch angles", "arms wind", "spiral structure" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }